منابع مشابه
Generating Functions of Bipartite Maps on Orientable Surfaces
We compute, for each genus g > 0, the generating function Lg ≡ Lg(t; p1, p2, . . . ) of (labelled) bipartite maps on the orientable surface of genus g, with control on all face degrees. We exhibit an explicit change of variables such that for each g, Lg is a rational function in the new variables, computable by an explicit recursion on the genus. The same holds for the generating function Fg of...
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Article history: Received 1 February 2008 Accepted 6 November 2010
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A unicellular map is the embedding of a connected graph in a surface in such a way that the complement of the graph is a topological disk. In this paper we give a bijective operation that relates unicellular maps on a nonorientable surface to unicellular maps of a lower topological type, with distinguished vertices. From that we obtain a recurrence equation that leads to (new) explicit counting...
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It is well known that regular maps exist on the projective plane but not on the Klein bottle, nor the non-orientable surface of genus 3. In this paper several infinite families of regular maps are constructed to show that such maps exist on non-odentable surfaces of over 77 per cent of all possible genera. Mathematics Subject Classification (1991): 05C25.
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It is proved the following theorem, if w is a quasiconformal harmonic mappings between two Riemann surfaces with smooth boundary and aproximate analytic metric, then w is a quasi-isometry with respect to Euclidean metric.
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2017
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-016-9853-8